Airfoil shape for turbine bucket and turbine incorporating same

ABSTRACT

A turbine bucket is provided including a bucket airfoil having an airfoil shape, the bucket airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances in inches by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the airfoil profile sections at Z distances being joined smoothly with one another to form a complete airfoil shape.

BACKGROUND OF THE INVENTION

The present invention relates to an airfoil for a bucket of a stage of agas turbine and particularly relates to a shape defining a turbinebucket airfoil profile.

In a gas turbine, many system requirements should be met at each stageof a gas turbine's flow path section to meet design goals. These designgoals include, but are not limited to, overall improved efficiency andairfoil loading capability. For example, and in no way limiting of theinvention, a blade of a compressor should achieve thermal and mechanicaloperating requirements for that particular stage. Further, for example,and in no way limiting of the invention, a blade or bucket of a turbineshould achieve thermal and mechanical operating requirements for thatparticular stage.

BRIEF DESCRIPTION OF THE INVENTION

An aspect of the present invention may be embodied by a turbine bucketincluding a bucket airfoil having an airfoil shape, the bucket airfoilhaving a nominal profile substantially in accordance with Cartesiancoordinate values of X, Y and Z set forth in Table 1 wherein theCartesian coordinate values of X, Y and Z are non-dimensional valuesfrom 0% to 100% convertible to dimensional distances in inches bymultiplying the Cartesian coordinate values of X, Y and Z by a height ofthe airfoil in inches, and wherein X and Y are distances in incheswhich, when connected by smooth continuing arcs, define airfoil profilesections at each distance Z, the airfoil profile sections at Z distancesbeing joined smoothly with one another to form a complete airfoil shape.

An aspect of the present invention may be embodied in a turbine bucketincluding a bucket airfoil having a suction-side uncoated nominalairfoil profile substantially in accordance with suction-side Cartesiancoordinate values of X, Y and Z set forth in Table 1 wherein theCartesian coordinate values of X, Y and Z are non-dimensional valuesfrom 0% to 100% convertible to dimensional distances in inches bymultiplying the Cartesian coordinate values of X, Y and Z by a height ofthe airfoil in inches, and wherein X and Y are distances in incheswhich, when connected by smooth continuing arcs, define airfoil profilesections at each Z distance, the airfoil profile sections at the Zdistances being joined smoothly with one another to form a completesuction-side airfoil shape, the X, Y and Z distances being scalable as afunction of the same constant or number to provide a scaled-up orscaled-down airfoil.

An aspect of the present invention may be embodied in a turbinecomprising a turbine wheel having a plurality of buckets, each of thebuckets including an airfoil having a suction-side airfoil shape, theairfoil having a nominal profile substantially in accordance withsuction-side Cartesian coordinate values of X, Y and Z set forth inTable 1 wherein the Cartesian coordinate values of X, Y and Z arenon-dimensional values from 0% to 100% convertible to dimensionaldistances by multiplying the Cartesian coordinate values of X, Y and Zby a height of the airfoil, and wherein X and Y are distances which,when connected by smooth continuing arcs, define airfoil profilesections at each Z distance, the airfoil profile sections at the Zdistances being joined smoothly with one another to form a completesuction-side airfoil shape.

BRIEF DESCRIPTION OF THE DRAWINGS

These and other objects and advantages of this invention, will be morecompletely understood and appreciated by careful study of the followingmore detailed description of the presently preferred example embodimentsof the invention taken in conjunction with the accompanying drawings, inwhich:

FIG. 1 is a schematic representation of a hot gas path through multiplestages of a gas turbine and illustrates a bucket airfoil according to anexample embodiment of the present invention; and

FIG. 2 is a perspective view of a bucket according to an exampleembodiment of the present invention.

DETAILED DESCRIPTION OF THE INVENTION

Referring now to the drawings, particularly to FIG. 1, there isillustrated a hot gas path, generally designated 10, of a gas turbine 12including a plurality of turbine stages. Three stages are illustrated.For example, the first stage comprises a plurality of circumferentiallyspaced nozzles 14 and buckets 16. The nozzles are circumferentiallyspaced one from the other and fixed about the axis of the rotor. Thefirst stage buckets 16, of course, are mounted on the turbine rotor 17.A second stage of the turbine 12 is also illustrated, including aplurality of circumferentially spaced nozzles 18 and a plurality ofcircumferentially spaced buckets 20 mounted on the rotor. The thirdstage is also illustrated including a plurality of circumferentiallyspaced nozzles 22 and buckets 24 mounted on rotor 17. It will beappreciated that the nozzles and buckets lie in the hot gas path 10 ofthe turbine, the direction of flow of the hot gas through the hot gaspath 10 being indicated by the arrow 26.

Referring to FIG. 2, it will be appreciated that the buckets have abucket root 32 mounted on a rotor wheel, not shown in detail, formingpart of rotor 17. It will also be appreciated that each bucket 24 has abucket airfoil 34 as illustrated in FIG. 2. The airfoil 34 has apressure side 51 and a suction side 52. The pressure side is shown inFIG. 2 and the suction side is located on the opposing side of theairfoil 34. Thus, each of the buckets 24 has a bucket airfoil profile atany cross-section from the bucket platform or root to the bucket tip 36in the shape of an airfoil 34. The base 38 is at or near the bottom ofthe airfoil 34 and the tip is at or near the top of the airfoil 34. Thebase 38 corresponds to the non-dimensional Z value of Table 1 at Zequals 0. The tip 36 of the bucket airfoil corresponds to thenon-dimensional Z value of Table 1 at Z equals 100. The X, Y, and Zvalues are given in percentage values of the airfoil length. As oneexample only, the height of the turbine bucket or airfoil 34 may be fromabout 10 inches to about 40 inches. However, it is to be understood thatheights below or above this range may also be employed as desired in thespecific application.

A gas turbine hot gas path requires airfoils that meet systemrequirements of aerodynamic and mechanical blade loading and efficiency.To define the airfoil shape of each bucket airfoil, there is a uniqueset or loci of points in space that meet the stage requirements and canbe manufactured. This unique loci of points meets the requirements forstage efficiency and are arrived at by iteration between aerodynamic andmechanical loadings enabling the turbine to run in an efficient, safeand smooth manner. These points are unique and specific to the systemand are not obvious to those skilled in the art. The loci which definesthe bucket airfoil profile of the invention comprises a set of about2,200 points with X, Y and Z dimensions relative to a reference origincoordinate system. The Cartesian coordinate system of X, Y and Z valuesgiven in Table 1 below defines the profile of the bucket airfoil atvarious locations along its length. Table 1 lists data for a non-coatedairfoil, and the envelope/tolerance for the coordinates is about +/−5%in a direction normal to any airfoil surface location. The point dataorigin is the leading edge of the root. The coordinate values for the X,Y and Z coordinates are set forth in non-dimensionalized units by theblade height in Table 1 although other units of dimensions may be usedwhen the values are appropriately converted. The X, Y, and Z values setforth in Table 1 are also expressed in non-dimensional form (X, Y, andZ) from 0% to 100% of the blade or airfoil height. To convert the Zvalue to a Z coordinate value, e.g., in inches, the non-dimensional Zvalue given in Table 1 is multiplied by the Z length of the airfoil ininches. As described above, the Cartesian coordinate system hasorthogonally-related X, Y and Z axes and the X axis lies generallyparallel to the turbine rotor centerline, i.e., the rotary axis and apositive X coordinate value is axial toward the aft, i.e., exhaust endof the turbine. The positive Y coordinate value extends tangentially inthe direction of rotation of the rotor and the positive Z coordinatevalue is radially outwardly toward the bucket tip. All the values inTable 1 are given at room temperature and are unfilleted.

By defining X and Y coordinate values at selected locations in a Zdirection normal to the X, Y plane, the profile section or airfoil shapeof the bucket airfoil, at each Z distance along the length of theairfoil can be ascertained. By connecting the X and Y values with smoothcontinuing arcs, each profile section at each distance Z is fixed. Theairfoil profiles of the various surface locations between the distancesZ are determined by smoothly connecting the adjacent profile sections toone another to form the airfoil profile.

The Table 1 values are generated and shown to four decimal places fordetermining the profile of the airfoil. As the blade heats up insurface, stress and temperature will cause a change in the X, Y and Z's.Accordingly, the values for the profile given in Table I representambient, non-operating or non-hot conditions (e.g., room temperature)and are for an uncoated airfoil.

There are typical manufacturing tolerances as well as coatings whichmust be accounted for in the actual profile of the airfoil. Each sectionis joined smoothly with the other sections to form the complete airfoilshape. It will therefore be appreciated that +/− typical manufacturingtolerances, i.e., +/− values, including any coating thicknesses, areadditive to the X and Y values given in Table I below. Accordingly, adistance of +/−5% in a direction normal to any surface location alongthe airfoil profile defines an airfoil profile envelope for thisparticular bucket airfoil design and turbine, i.e., a range of variationbetween measured points on the actual airfoil surface at nominal cold orroom temperature and the ideal position of those points as given in theTable below at the same temperature. The data is scalable and thegeometry pertains to all aerodynamic scales, at, above and/or below a3000-3600 RPM range. The bucket airfoil design is robust to this rangeof variation without impairment of mechanical and aerodynamic functions.

TABLE 1 N Location X Y Z 1 Suction-Side 0.00000 0.00000 0 2 Suction-Side−0.03198 0.38032 0 3 Suction-Side 0.15055 0.72374 0 4 Suction-Side0.38180 1.03862 0 5 Suction-Side 0.63124 1.33973 0 6 Suction-Side0.89643 1.62706 0 7 Suction-Side 1.17196 1.90455 0 8 Suction-Side1.45387 2.17466 0 9 Suction-Side 1.74268 2.43838 0 10 Suction-Side2.03641 2.69619 0 11 Suction-Side 2.33555 2.94809 0 12 Suction-Side2.63911 3.19410 0 13 Suction-Side 2.94662 3.43518 0 14 Suction-Side3.25904 3.67036 0 15 Suction-Side 3.57491 3.90062 0 16 Suction-Side3.89520 4.12497 0 17 Suction-Side 4.21894 4.34391 0 18 Suction-Side4.54662 4.55695 0 19 Suction-Side 4.87823 4.76408 0 20 Suction-Side5.21427 4.96384 0 21 Suction-Side 5.55424 5.15670 0 22 Suction-Side5.89865 5.34170 0 23 Suction-Side 6.24748 5.51784 0 24 Suction-Side6.60074 5.68512 0 25 Suction-Side 6.95744 5.84502 0 26 Suction-Side7.31808 5.99656 0 27 Suction-Side 7.68167 6.14022 0 28 Suction-Side8.04772 6.27651 0 29 Suction-Side 8.41722 6.40492 0 30 Suction-Side8.78868 6.52546 0 31 Suction-Side 9.16310 6.63764 0 32 Suction-Side9.53998 6.74194 0 33 Suction-Side 9.91882 6.83739 0 34 Suction-Side10.30012 6.92448 0 35 Suction-Side 10.68290 7.00320 0 36 Suction-Side11.06765 7.07208 0 37 Suction-Side 11.45387 7.13260 0 38 Suction-Side11.84157 7.18327 0 39 Suction-Side 12.23026 7.22411 0 40 Suction-Side12.61993 7.25560 0 41 Suction-Side 13.01009 7.27675 0 42 Suction-Side13.40123 7.28807 0 43 Suction-Side 13.79188 7.28856 0 44 Suction-Side14.18253 7.27823 0 45 Suction-Side 14.57319 7.25707 0 46 Suction-Side14.96285 7.22509 0 47 Suction-Side 15.35105 7.18130 0 48 Suction-Side15.73825 7.12669 0 49 Suction-Side 16.12349 7.06125 0 50 Suction-Side16.50677 6.98401 0 51 Suction-Side 16.88758 6.89545 0 52 Suction-Side17.26544 6.79557 0 53 Suction-Side 17.64034 6.68487 0 54 Suction-Side18.01181 6.56335 0 55 Suction-Side 18.37983 6.43100 0 56 Suction-Side18.74391 6.28930 0 57 Suction-Side 19.10406 6.13727 0 58 Suction-Side19.46027 5.97638 0 59 Suction-Side 19.81205 5.80664 0 60 Suction-Side20.16039 5.62903 0 61 Suction-Side 20.50480 5.44354 0 62 Suction-Side20.84526 5.25117 0 63 Suction-Side 21.18180 5.05240 0 64 Suction-Side21.51488 4.84772 0 65 Suction-Side 21.84403 4.63764 0 66 Suction-Side22.17023 4.42214 0 67 Suction-Side 22.49348 4.20172 0 68 Suction-Side22.81328 3.97737 0 69 Suction-Side 23.13014 3.74859 0 70 Suction-Side23.44453 3.51587 0 71 Suction-Side 23.75597 3.27970 0 72 Suction-Side24.06544 3.04108 0 73 Suction-Side 24.37245 2.79902 0 74 Suction-Side24.67798 2.55498 0 75 Suction-Side 24.98106 2.30849 0 76 Suction-Side25.28266 2.05953 0 77 Suction-Side 25.58229 1.80861 0 78 Suction-Side25.88044 1.55523 0 79 Suction-Side 26.17663 1.30037 0 80 Suction-Side26.47085 1.04354 0 81 Suction-Side 26.76408 0.78475 0 82 Suction-Side27.05535 0.52448 0 83 Suction-Side 27.34563 0.26224 0 84 Suction-Side27.63444 −0.00098 0 85 Suction-Side 27.92226 −0.26568 0 86 Suction-Side28.20861 −0.53186 0 87 Suction-Side 28.49397 −0.79902 0 88 Suction-Side28.77786 −1.06765 0 89 Suction-Side 29.06027 −1.33776 0 90 Suction-Side29.34170 −1.60935 0 91 Suction-Side 29.62165 −1.88192 0 92 Suction-Side29.90012 −2.15646 0 93 Suction-Side 30.17712 −2.43247 0 94 Suction-Side30.45215 −2.70996 0 95 Suction-Side 30.72571 −2.98942 0 96 Suction-Side30.99779 −3.26986 0 97 Suction-Side 31.26790 −3.55277 0 98 Suction-Side31.53752 −3.83567 0 99 Suction-Side 31.76039 −4.15498 0 100 Suction-Side31.80320 −4.53776 0 101 Pressure-Side 31.61968 −4.87626 0 102Pressure-Side 31.32399 −5.04551 0 103 Pressure-Side 30.98253 −5.04010 0104 Pressure-Side 30.68930 −4.86544 0 105 Pressure-Side 30.43739−4.62927 0 106 Pressure-Side 30.18401 −4.39508 0 107 Pressure-Side29.92915 −4.16285 0 108 Pressure-Side 29.67232 −3.93210 0 109Pressure-Side 29.41353 −3.70381 0 110 Pressure-Side 29.15326 −3.47749 0111 Pressure-Side 28.89053 −3.25363 0 112 Pressure-Side 28.62632−3.03173 0 113 Pressure-Side 28.35966 −2.81279 0 114 Pressure-Side28.09102 −2.59582 0 115 Pressure-Side 27.82042 −2.38180 0 116Pressure-Side 27.54785 −2.17023 0 117 Pressure-Side 27.27331 −1.96162 0118 Pressure-Side 26.99631 −1.75547 0 119 Pressure-Side 26.71734−1.55228 0 120 Pressure-Side 26.43641 −1.35203 0 121 Pressure-Side26.15351 −1.15474 0 122 Pressure-Side 25.86814 −0.96039 0 123Pressure-Side 25.58081 −0.76950 0 124 Pressure-Side 25.29102 −0.58204 0125 Pressure-Side 24.99926 −0.39754 0 126 Pressure-Side 24.70504−0.21697 0 127 Pressure-Side 24.40886 −0.04034 0 128 Pressure-Side24.11070 0.13333 0 129 Pressure-Side 23.81009 0.30258 0 130Pressure-Side 23.50750 0.46839 0 131 Pressure-Side 23.20246 0.62977 0132 Pressure-Side 22.89545 0.78721 0 133 Pressure-Side 22.58598 0.940220 134 Pressure-Side 22.27454 1.08881 0 135 Pressure-Side 21.961131.23296 0 136 Pressure-Side 21.64526 1.37220 0 137 Pressure-Side21.32792 1.50701 0 138 Pressure-Side 21.00812 1.63690 0 139Pressure-Side 20.68635 1.76187 0 140 Pressure-Side 20.36261 1.88143 0141 Pressure-Side 20.03690 1.99557 0 142 Pressure-Side 19.70972 2.104310 143 Pressure-Side 19.38007 2.20763 0 144 Pressure-Side 19.049452.30504 0 145 Pressure-Side 18.71636 2.39656 0 146 Pressure-Side18.38229 2.48216 0 147 Pressure-Side 18.04625 2.56138 0 148Pressure-Side 17.70923 2.63419 0 149 Pressure-Side 17.37073 2.70062 0150 Pressure-Side 17.03075 2.76113 0 151 Pressure-Side 16.68979 2.815250 152 Pressure-Side 16.34834 2.86347 0 153 Pressure-Side 16.005902.90578 0 154 Pressure-Side 15.66248 2.94219 0 155 Pressure-Side15.31907 2.97220 0 156 Pressure-Side 14.97466 2.99680 0 157Pressure-Side 14.63026 3.01550 0 158 Pressure-Side 14.28536 3.02829 0159 Pressure-Side 13.94047 3.03567 0 160 Pressure-Side 13.59557 3.037150 161 Pressure-Side 13.25018 3.03272 0 162 Pressure-Side 12.905293.02288 0 163 Pressure-Side 12.56039 3.00763 0 164 Pressure-Side12.21599 2.98696 0 165 Pressure-Side 11.87208 2.96089 0 166Pressure-Side 11.52866 2.92940 0 167 Pressure-Side 11.18524 2.89299 0168 Pressure-Side 10.84280 2.85117 0 169 Pressure-Side 10.50086 2.804430 170 Pressure-Side 10.15990 2.75277 0 171 Pressure-Side 9.81943 2.696190 172 Pressure-Side 9.47995 2.63469 0 173 Pressure-Side 9.14096 2.568760 174 Pressure-Side 8.80344 2.49791 0 175 Pressure-Side 8.46642 2.422630 176 Pressure-Side 8.13087 2.34244 0 177 Pressure-Side 7.79631 2.257810 178 Pressure-Side 7.46322 2.16876 0 179 Pressure-Side 7.13112 2.075280 180 Pressure-Side 6.80000 1.97786 0 181 Pressure-Side 6.46986 1.876510 182 Pressure-Side 6.14170 1.77073 0 183 Pressure-Side 5.81402 1.661500 184 Pressure-Side 5.48831 1.54834 0 185 Pressure-Side 5.16359 1.431730 186 Pressure-Side 4.83985 1.31169 0 187 Pressure-Side 4.51759 1.188190 188 Pressure-Side 4.19680 1.06175 0 189 Pressure-Side 3.87651 0.933330 190 Pressure-Side 3.55670 0.80344 0 191 Pressure-Side 3.23690 0.673550 192 Pressure-Side 2.91759 0.54367 0 193 Pressure-Side 2.59729 0.414270 194 Pressure-Side 2.27651 0.28684 0 195 Pressure-Side 1.95474 0.163350 196 Pressure-Side 1.62952 0.04674 0 197 Pressure-Side 1.30135 −0.059040 198 Pressure-Side 0.96777 −0.14711 0 199 Pressure-Side 0.62731−0.20025 0 200 Pressure-Side 0.28389 −0.17860 0 1 Suction-Side 0.040840.59434 10 2 Suction-Side 0.04723 0.97466 10 3 Suction-Side 0.217961.32349 10 4 Suction-Side 0.44084 1.64231 10 5 Suction-Side 0.690771.94096 10 6 Suction-Side 0.95597 2.22583 10 7 Suction-Side 1.233462.49889 10 8 Suction-Side 1.52079 2.76113 10 9 Suction-Side 1.815503.01550 10 10 Suction-Side 2.11710 3.26150 10 11 Suction-Side 2.424603.50012 10 12 Suction-Side 2.73752 3.73186 10 13 Suction-Side 3.055843.95621 10 14 Suction-Side 3.37811 4.17417 10 15 Suction-Side 3.704804.38524 10 16 Suction-Side 4.03592 4.59041 10 17 Suction-Side 4.370484.78918 10 18 Suction-Side 4.70947 4.98106 10 19 Suction-Side 5.051415.16605 10 20 Suction-Side 5.39779 5.34465 10 21 Suction-Side 5.747115.51636 10 22 Suction-Side 6.09988 5.68118 10 23 Suction-Side 6.455605.83813 10 24 Suction-Side 6.81476 5.98819 10 25 Suction-Side 7.177376.13087 10 26 Suction-Side 7.54244 6.26519 10 27 Suction-Side 7.910466.39213 10 28 Suction-Side 8.28143 6.51021 10 29 Suction-Side 8.654866.62042 10 30 Suction-Side 9.03026 6.72177 10 31 Suction-Side 9.408616.81427 10 32 Suction-Side 9.78893 6.89742 10 33 Suction-Side 10.171226.97122 10 34 Suction-Side 10.55498 7.03518 10 35 Suction-Side 10.940227.08979 10 36 Suction-Side 11.32694 7.13407 10 37 Suction-Side 11.714647.16802 10 38 Suction-Side 12.10332 7.19114 10 39 Suction-Side 12.492507.20394 10 40 Suction-Side 12.88167 7.20541 10 41 Suction-Side 13.270857.19606 10 42 Suction-Side 13.65953 7.17540 10 43 Suction-Side 14.047237.14391 10 44 Suction-Side 14.43444 7.10062 10 45 Suction-Side 14.819687.04600 10 46 Suction-Side 15.20344 6.97958 10 47 Suction-Side 15.584756.90185 10 48 Suction-Side 15.96359 6.81279 10 49 Suction-Side 16.339486.71292 10 50 Suction-Side 16.71292 6.60172 10 51 Suction-Side 17.082416.47970 10 52 Suction-Side 17.44846 6.34736 10 53 Suction-Side 17.810586.20517 10 54 Suction-Side 18.16925 6.05314 10 55 Suction-Side 18.523005.89127 10 56 Suction-Side 18.87282 5.72103 10 57 Suction-Side 19.218705.54194 10 58 Suction-Side 19.56015 5.35498 10 59 Suction-Side 19.897665.16064 10 60 Suction-Side 20.23075 4.95941 10 61 Suction-Side 20.559904.75178 10 62 Suction-Side 20.88512 4.53825 10 63 Suction-Side 21.206894.31882 10 64 Suction-Side 21.52522 4.09496 10 65 Suction-Side 21.839613.86568 10 66 Suction-Side 22.15154 3.63247 10 67 Suction-Side 22.460523.39582 10 68 Suction-Side 22.76654 3.15572 10 69 Suction-Side 23.070602.91218 10 70 Suction-Side 23.37220 2.66617 10 71 Suction-Side 23.671832.41771 10 72 Suction-Side 23.96900 2.16630 10 73 Suction-Side 24.264211.91292 10 74 Suction-Side 24.55744 1.65658 10 75 Suction-Side 24.849201.39877 10 76 Suction-Side 25.13899 1.13899 10 77 Suction-Side 25.427310.87724 10 78 Suction-Side 25.71415 0.61451 10 79 Suction-Side 25.999510.34982 10 80 Suction-Side 26.28339 0.08364 10 81 Suction-Side 26.56630−0.18401 10 82 Suction-Side 26.84772 −0.45264 10 83 Suction-Side27.12817 −0.72276 10 84 Suction-Side 27.40713 −0.99434 10 85Suction-Side 27.68512 −1.26691 10 86 Suction-Side 27.96162 −1.54096 1087 Suction-Side 28.23715 −1.81599 10 88 Suction-Side 28.51119 −2.0920010 89 Suction-Side 28.78475 −2.36900 10 90 Suction-Side 29.05683−2.64748 10 91 Suction-Side 29.32841 −2.92645 10 92 Suction-Side29.59852 −3.20689 10 93 Suction-Side 29.86716 −3.48831 10 94Suction-Side 30.13481 −3.77073 10 95 Suction-Side 30.40148 −4.05461 1096 Suction-Side 30.66667 −4.33948 10 97 Suction-Side 30.93087 −4.6253410 98 Suction-Side 31.19410 −4.91218 10 99 Suction-Side 31.45683−5.19902 10 100 Suction-Side 31.57835 −5.55966 10 101 Pressure-Side31.41009 −5.90012 10 102 Pressure-Side 31.08831 −6.02165 10 103Pressure-Side 30.76605 −5.90111 10 104 Pressure-Side 30.51169 −5.6580610 105 Pressure-Side 30.25683 −5.41550 10 106 Pressure-Side 30.00049−5.17442 10 107 Pressure-Side 29.74317 −4.93481 10 108 Pressure-Side29.48438 −4.69619 10 109 Pressure-Side 29.22460 −4.45904 10 110Pressure-Side 28.96384 −4.22288 10 111 Pressure-Side 28.70111 −3.9886810 112 Pressure-Side 28.43788 −3.75547 10 113 Pressure-Side 28.17269−3.52423 10 114 Pressure-Side 27.90652 −3.29397 10 115 Pressure-Side27.63936 −3.06568 10 116 Pressure-Side 27.37023 −2.83887 10 117Pressure-Side 27.10012 −2.61353 10 118 Pressure-Side 26.82854 −2.3901610 119 Pressure-Side 26.55547 −2.16827 10 120 Pressure-Side 26.28093−1.94834 10 121 Pressure-Side 26.00492 −1.73038 10 122 Pressure-Side25.72694 −1.51439 10 123 Pressure-Side 25.44797 −1.30037 10 124Pressure-Side 25.16654 −1.08881 10 125 Pressure-Side 24.88413 −0.8792110 126 Pressure-Side 24.59975 −0.67208 10 127 Pressure-Side 24.31341−0.46790 10 128 Pressure-Side 24.02558 −0.26568 10 129 Pressure-Side23.73530 −0.06642 10 130 Pressure-Side 23.44354 0.12989 10 131Pressure-Side 23.14982 0.32325 10 132 Pressure-Side 22.85412 0.51365 10133 Pressure-Side 22.55597 0.70111 10 134 Pressure-Side 22.25633 0.8846210 135 Pressure-Side 21.95375 1.06470 10 136 Pressure-Side 21.649201.24084 10 137 Pressure-Side 21.34268 1.41304 10 138 Pressure-Side21.03370 1.58130 10 139 Pressure-Side 20.72226 1.74514 10 140Pressure-Side 20.40886 1.90455 10 141 Pressure-Side 20.09299 2.05953 10142 Pressure-Side 19.77515 2.21009 10 143 Pressure-Side 19.45437 2.3552310 144 Pressure-Side 19.13210 2.49545 10 145 Pressure-Side 18.806892.63026 10 146 Pressure-Side 18.48020 2.76015 10 147 Pressure-Side18.15055 2.88413 10 148 Pressure-Side 17.81943 3.00221 10 149Pressure-Side 17.48585 3.11439 10 150 Pressure-Side 17.15080 3.22066 10151 Pressure-Side 16.81328 3.32054 10 152 Pressure-Side 16.47429 3.4140210 153 Pressure-Side 16.13333 3.50062 10 154 Pressure-Side 15.790903.58081 10 155 Pressure-Side 15.44649 3.65412 10 156 Pressure-Side15.10111 3.72005 10 157 Pressure-Side 14.75424 3.77958 10 158Pressure-Side 14.40640 3.83124 10 159 Pressure-Side 14.05756 3.87601 10160 Pressure-Side 13.70775 3.91292 10 161 Pressure-Side 13.35695 3.9429310 162 Pressure-Side 13.00615 3.96458 10 163 Pressure-Side 12.654373.97934 10 164 Pressure-Side 12.30258 3.98573 10 165 Pressure-Side11.95080 3.98475 10 166 Pressure-Side 11.59951 3.97540 10 167Pressure-Side 11.24822 3.95818 10 168 Pressure-Side 10.89692 3.93309 10169 Pressure-Side 10.54711 3.90012 10 170 Pressure-Side 10.19729 3.8587910 171 Pressure-Side 9.84895 3.80959 10 172 Pressure-Side 9.502093.75301 10 173 Pressure-Side 9.15621 3.68856 10 174 Pressure-Side8.81181 3.61624 10 175 Pressure-Side 8.46937 3.53702 10 176Pressure-Side 8.12841 3.44994 10 177 Pressure-Side 7.78942 3.35597 10178 Pressure-Side 7.45240 3.25510 10 179 Pressure-Side 7.11734 3.1478510 180 Pressure-Side 6.78426 3.03370 10 181 Pressure-Side 6.453632.91415 10 182 Pressure-Side 6.12497 2.78868 10 183 Pressure-Side5.79877 2.65732 10 184 Pressure-Side 5.47405 2.52153 10 185Pressure-Side 5.15178 2.38081 10 186 Pressure-Side 4.83100 2.23616 10187 Pressure-Side 4.51169 2.08807 10 188 Pressure-Side 4.19434 1.9370210 189 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Suction-Side 15.62509 6.68192 20 47 Suction-Side 15.993606.57368 20 48 Suction-Side 16.35867 6.45461 20 49 Suction-Side 16.720306.32522 20 50 Suction-Side 17.07749 6.18499 20 51 Suction-Side 17.431246.03493 20 52 Suction-Side 17.78007 5.87552 20 53 Suction-Side 18.125465.70677 20 54 Suction-Side 18.46593 5.52964 20 55 Suction-Side 18.801975.34367 20 56 Suction-Side 19.13309 5.14982 20 57 Suction-Side 19.460764.94908 20 58 Suction-Side 19.78352 4.74145 20 59 Suction-Side 20.102344.52743 20 60 Suction-Side 20.41722 4.30800 20 61 Suction-Side 20.728174.08266 20 62 Suction-Side 21.03567 3.85240 20 63 Suction-Side 21.339243.61771 20 64 Suction-Side 21.63985 3.37860 20 65 Suction-Side 21.937523.13604 20 66 Suction-Side 22.23223 2.89004 20 67 Suction-Side 22.524972.64108 20 68 Suction-Side 22.81476 2.38967 20 69 Suction-Side 23.103082.13579 20 70 Suction-Side 23.38893 1.87946 20 71 Suction-Side 23.673311.62116 20 72 Suction-Side 23.95523 1.36089 20 73 Suction-Side 24.235671.09865 20 74 Suction-Side 24.51464 0.83493 20 75 Suction-Side 24.792130.56925 20 76 Suction-Side 25.06814 0.30258 20 77 Suction-Side 25.342680.03395 20 78 Suction-Side 25.61624 −0.23567 20 79 Suction-Side 25.88881−0.50627 20 80 Suction-Side 26.15990 −0.77786 20 81 Suction-Side26.43001 −1.05043 20 82 Suction-Side 26.69963 −1.32448 20 83Suction-Side 26.96777 −1.59902 20 84 Suction-Side 27.23493 −1.87503 2085 Suction-Side 27.50111 −2.15154 20 86 Suction-Side 27.76630 −2.4290320 87 Suction-Side 28.03050 −2.70750 20 88 Suction-Side 28.29422−2.98696 20 89 Suction-Side 28.55695 −3.26691 20 90 Suction-Side28.81870 −3.54785 20 91 Suction-Side 29.07946 −3.82977 20 92Suction-Side 29.33973 −4.11218 20 93 Suction-Side 29.59902 −4.39557 2094 Suction-Side 29.85732 −4.67946 20 95 Suction-Side 30.11464 −4.9643320 96 Suction-Side 30.37097 −5.25018 20 97 Suction-Side 30.62681−5.53653 20 98 Suction-Side 30.88118 −5.82386 20 99 Suction-Side31.13752 −6.11021 20 100 Suction-Side 31.31759 −6.43936 20 101Pressure-Side 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Pressure-Side 1.74613 1.65264 30 200Pressure-Side 1.40517 1.63100 30 1 Suction-Side 2.22189 2.56925 40 2Suction-Side 2.24649 2.91611 40 3 Suction-Side 2.42608 3.22214 40 4Suction-Side 2.65633 3.49225 40 5 Suction-Side 2.90923 3.74170 40 6Suction-Side 3.17786 3.97392 40 7 Suction-Side 3.45732 4.19336 40 8Suction-Side 3.74465 4.40295 40 9 Suction-Side 4.03838 4.60271 40 10Suction-Side 4.33801 4.79410 40 11 Suction-Side 4.64305 4.97663 40 12Suction-Side 4.95252 5.15080 40 13 Suction-Side 5.26593 5.31857 40 14Suction-Side 5.58278 5.47847 40 15 Suction-Side 5.90357 5.63149 40 16Suction-Side 6.22780 5.77712 40 17 Suction-Side 6.55547 5.91488 40 18Suction-Side 6.88610 6.04477 40 19 Suction-Side 7.21968 6.16728 40 20Suction-Side 7.55621 6.28143 40 21 Suction-Side 7.89520 6.38721 40 22Suction-Side 8.23715 6.48462 40 23 Suction-Side 8.58155 6.57269 40 24Suction-Side 8.92792 6.65240 40 25 Suction-Side 9.27626 6.72226 40 26Suction-Side 9.62608 6.78229 40 27 Suction-Side 9.97786 6.83296 40 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Pressure-Side 14.19877 3.96507 40 164 Pressure-Side 13.880444.03641 40 165 Pressure-Side 13.56064 4.09988 40 166 Pressure-Side13.23887 4.15498 40 167 Pressure-Side 12.91611 4.20221 40 168Pressure-Side 12.59237 4.24108 40 169 Pressure-Side 12.26765 4.27109 40170 Pressure-Side 11.94194 4.29323 40 171 Pressure-Side 11.61624 4.3070140 172 Pressure-Side 11.29004 4.31242 40 173 Pressure-Side 10.963844.30996 40 174 Pressure-Side 10.63764 4.29963 40 175 Pressure-Side10.31193 4.28143 40 176 Pressure-Side 9.98672 4.25535 40 177Pressure-Side 9.66248 4.22140 40 178 Pressure-Side 9.33875 4.18106 40179 Pressure-Side 9.01599 4.13333 40 180 Pressure-Side 8.69422 4.0787240 181 Pressure-Side 8.37392 4.01771 40 182 Pressure-Side 8.054613.95080 40 183 Pressure-Side 7.73678 3.87749 40 184 Pressure-Side7.42042 3.79877 40 185 Pressure-Side 7.10504 3.71513 40 186Pressure-Side 6.79114 3.62608 40 187 Pressure-Side 6.47872 3.53260 40188 Pressure-Side 6.16728 3.43518 40 189 Pressure-Side 5.85732 3.3333340 190 Pressure-Side 5.54834 3.22804 40 191 Pressure-Side 5.240843.12030 40 192 Pressure-Side 4.93333 3.01058 40 193 Pressure-Side4.62632 2.90037 40 194 Pressure-Side 4.31980 2.78967 40 195Pressure-Side 4.01230 2.67946 40 196 Pressure-Side 3.70431 2.57269 40197 Pressure-Side 3.39385 2.47331 40 198 Pressure-Side 3.07897 2.3867240 199 Pressure-Side 2.75916 2.32522 40 200 Pressure-Side 2.435422.34096 40 1 Suction-Side 3.44403 3.35203 50 2 Suction-Side 3.538993.66052 50 3 Suction-Side 3.73875 3.91980 50 4 Suction-Side 3.970974.15105 50 5 Suction-Side 4.22189 4.36261 50 6 Suction-Side 4.484134.55892 50 7 Suction-Side 4.75424 4.74490 50 8 Suction-Side 5.030754.92103 50 9 Suction-Side 5.31316 5.08831 50 10 Suction-Side 5.600005.24674 50 11 Suction-Side 5.89127 5.39729 50 12 Suction-Side 6.186475.53998 50 13 Suction-Side 6.48512 5.67577 50 14 Suction-Side 6.786725.80418 50 15 Suction-Side 7.09127 5.92522 50 16 Suction-Side 7.398776.03887 50 17 Suction-Side 7.70923 6.14514 50 18 Suction-Side 8.022146.24403 50 19 Suction-Side 8.33702 6.33506 50 20 Suction-Side 8.653876.41820 50 21 Suction-Side 8.97319 6.49348 50 22 Suction-Side 9.293976.56039 50 23 Suction-Side 9.61673 6.61894 50 24 Suction-Side 9.940966.66913 50 25 Suction-Side 10.26617 6.70996 50 26 Suction-Side 10.592376.74194 50 27 Suction-Side 10.91956 6.76408 50 28 Suction-Side 11.247236.77688 50 29 Suction-Side 11.57540 6.77983 50 30 Suction-Side 11.903086.77245 50 31 Suction-Side 12.23026 6.75474 50 32 Suction-Side 12.556956.72571 50 33 Suction-Side 12.88266 6.68585 50 34 Suction-Side 13.206406.63518 50 35 Suction-Side 13.52817 6.57269 50 36 Suction-Side 13.847976.49840 50 37 Suction-Side 14.16384 6.41181 50 38 Suction-Side 14.476756.31390 50 39 Suction-Side 14.78573 6.20418 50 40 Suction-Side 15.090776.08364 50 41 Suction-Side 15.39090 5.95178 50 42 Suction-Side 15.686595.80959 50 43 Suction-Side 15.97737 5.65806 50 44 Suction-Side 16.262735.49717 50 45 Suction-Side 16.54367 5.32743 50 46 Suction-Side 16.819685.15080 50 47 Suction-Side 17.09127 4.96679 50 48 Suction-Side 17.357934.77589 50 49 Suction-Side 17.62066 4.57958 50 50 Suction-Side 17.878974.37786 50 51 Suction-Side 18.13383 4.17122 50 52 Suction-Side 18.384753.96015 50 53 Suction-Side 18.63223 3.74514 50 54 Suction-Side 18.876753.52669 50 55 Suction-Side 19.11784 3.30480 50 56 Suction-Side 19.356953.07995 50 57 Suction-Side 19.59311 2.85264 50 58 Suction-Side 19.826812.62239 50 59 Suction-Side 20.05806 2.39016 50 60 Suction-Side 20.287822.15597 50 61 Suction-Side 20.51513 1.92030 50 62 Suction-Side 20.741451.68216 50 63 Suction-Side 20.96531 1.44305 50 64 Suction-Side 21.188191.20246 50 65 Suction-Side 21.41009 0.96089 50 66 Suction-Side 21.630500.71833 50 67 Suction-Side 21.84994 0.47478 50 68 Suction-Side 22.068880.23075 50 69 Suction-Side 22.28684 −0.01427 50 70 Suction-Side 22.50431−0.26027 50 71 Suction-Side 22.72079 −0.50627 50 72 Suction-Side22.93629 −0.75326 50 73 Suction-Side 23.15178 −1.00074 50 74Suction-Side 23.36630 −1.24822 50 75 Suction-Side 23.58081 −1.49668 5076 Suction-Side 23.79434 −1.74514 50 77 Suction-Side 24.00787 −1.9941050 78 Suction-Side 24.22091 −2.24354 50 79 Suction-Side 24.43395−2.49299 50 80 Suction-Side 24.64600 −2.74293 50 81 Suction-Side24.85855 −2.99287 50 82 Suction-Side 25.07060 −3.24280 50 83Suction-Side 25.28216 −3.49323 50 84 Suction-Side 25.49373 −3.74367 5085 Suction-Side 25.70480 −3.99459 50 86 Suction-Side 25.91587 −4.2460050 87 Suction-Side 26.12645 −4.49692 50 88 Suction-Side 26.33702−4.74834 50 89 Suction-Side 26.54711 −4.99975 50 90 Suction-Side26.75720 −5.25166 50 91 Suction-Side 26.96728 −5.50357 50 92Suction-Side 27.17688 −5.75547 50 93 Suction-Side 27.38647 −6.00787 5094 Suction-Side 27.59606 −6.26027 50 95 Suction-Side 27.80467 −6.5131650 96 Suction-Side 28.01378 −6.76605 50 97 Suction-Side 28.22189−7.01894 50 98 Suction-Side 28.43050 −7.27232 50 99 Suction-Side28.63813 −7.52571 50 100 Suction-Side 28.82214 −7.79385 50 101Pressure-Side 28.71734 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Pressure-Side 17.07109 2.69717 50 155 Pressure-Side 16.80984 2.8501850 156 Pressure-Side 16.54563 2.99779 50 157 Pressure-Side 16.277983.13948 50 158 Pressure-Side 16.00787 3.27577 50 159 Pressure-Side15.73432 3.40566 50 160 Pressure-Side 15.45781 3.52866 50 161Pressure-Side 15.17835 3.64428 50 162 Pressure-Side 14.89545 3.75252 50163 Pressure-Side 14.61009 3.85289 50 164 Pressure-Side 14.32177 3.9453950 165 Pressure-Side 14.03100 4.02903 50 166 Pressure-Side 13.737764.10431 50 167 Pressure-Side 13.44207 4.17023 50 168 Pressure-Side13.14490 4.22681 50 169 Pressure-Side 12.84625 4.27405 50 170Pressure-Side 12.54563 4.31193 50 171 Pressure-Side 12.24453 4.34096 50172 Pressure-Side 11.94244 4.36113 50 173 Pressure-Side 11.63985 4.3719650 174 Pressure-Side 11.33727 4.37442 50 175 Pressure-Side 11.034694.36851 50 176 Pressure-Side 10.73260 4.35474 50 177 Pressure-Side10.43050 4.33309 50 178 Pressure-Side 10.12940 4.30455 50 179Pressure-Side 9.82878 4.26913 50 180 Pressure-Side 9.52866 4.22731 50181 Pressure-Side 9.23001 4.18007 50 182 Pressure-Side 8.93186 4.1269450 183 Pressure-Side 8.63469 4.06888 50 184 Pressure-Side 8.338504.00640 50 185 Pressure-Side 8.04330 3.93998 50 186 Pressure-Side7.74908 3.86962 50 187 Pressure-Side 7.45535 3.79631 50 188Pressure-Side 7.16261 3.71956 50 189 Pressure-Side 6.87036 3.64084 50190 Pressure-Side 6.57860 3.56064 50 191 Pressure-Side 6.28635 3.4804450 192 Pressure-Side 5.99459 3.40025 50 193 Pressure-Side 5.702343.32251 50 194 Pressure-Side 5.40910 3.24674 50 195 Pressure-Side5.11439 3.17688 50 196 Pressure-Side 4.81771 3.11685 50 197Pressure-Side 4.51857 3.07159 50 198 Pressure-Side 4.21697 3.04945 50199 Pressure-Side 3.91439 3.05683 50 200 Pressure-Side 3.62116 3.1242350 1 Suction-Side 4.73604 4.19090 60 2 Suction-Side 4.83296 4.46593 60 3Suction-Side 5.03173 4.68782 60 4 Suction-Side 5.25756 4.88364 60 5Suction-Side 5.49619 5.06322 60 6 Suction-Side 5.74367 5.23050 60 7Suction-Side 5.99705 5.38844 60 8 Suction-Side 6.25584 5.53752 60 9Suction-Side 6.51956 5.67823 60 10 Suction-Side 6.78770 5.81009 60 11Suction-Side 7.05978 5.93309 60 12 Suction-Side 7.33530 6.04871 60 13Suction-Side 7.61427 6.15597 60 14 Suction-Side 7.89619 6.25486 60 15Suction-Side 8.18057 6.34539 60 16 Suction-Side 8.46790 6.42755 60 17Suction-Side 8.75769 6.50086 60 18 Suction-Side 9.04895 6.56581 60 19Suction-Side 9.34268 6.62140 60 20 Suction-Side 9.63739 6.66814 60 21Suction-Side 9.93407 6.70603 60 22 Suction-Side 10.23124 6.73456 60 23Suction-Side 10.52940 6.75424 60 24 Suction-Side 10.82804 6.76507 60 25Suction-Side 11.12669 6.76605 60 26 Suction-Side 11.42534 6.75818 60 27Suction-Side 11.72349 6.74047 60 28 Suction-Side 12.02066 6.71292 60 29Suction-Side 12.31734 6.67552 60 30 Suction-Side 12.61205 6.62829 60 31Suction-Side 12.90529 6.57122 60 32 Suction-Side 13.19656 6.50332 60 33Suction-Side 13.48487 6.42509 60 34 Suction-Side 13.76974 6.33604 60 35Suction-Side 14.05166 6.23665 60 36 Suction-Side 14.32915 6.12645 60 37Suction-Side 14.60221 6.00541 60 38 Suction-Side 14.87036 5.87355 60 39Suction-Side 15.13309 5.73137 60 40 Suction-Side 15.38991 5.57934 60 41Suction-Side 15.64133 5.41796 60 42 Suction-Side 15.88684 5.24772 60 43Suction-Side 16.12694 5.06962 60 44 Suction-Side 16.36113 4.88413 60 45Suction-Side 16.58991 4.69225 60 46 Suction-Side 16.81427 4.49496 60 47Suction-Side 17.03419 4.29274 60 48 Suction-Side 17.25018 4.08610 60 49Suction-Side 17.46224 3.87601 60 50 Suction-Side 17.67183 3.66298 60 51Suction-Side 17.87847 3.44748 60 52 Suction-Side 18.08315 3.22952 60 53Suction-Side 18.28536 3.01009 60 54 Suction-Side 18.48561 2.78819 60 55Suction-Side 18.68487 2.56531 60 56 Suction-Side 18.88266 2.34145 60 57Suction-Side 19.07946 2.11661 60 58 Suction-Side 19.27478 1.89127 60 59Suction-Side 19.46962 1.66445 60 60 Suction-Side 19.66347 1.43715 60 61Suction-Side 19.85683 1.20935 60 62 Suction-Side 20.04920 0.98106 60 63Suction-Side 20.24108 0.75228 60 64 Suction-Side 20.43296 0.52300 60 65Suction-Side 20.62386 0.29323 60 66 Suction-Side 20.81476 0.06298 60 67Suction-Side 21.00517 −0.16679 60 68 Suction-Side 21.19508 −0.39705 6069 Suction-Side 21.38499 −0.62780 60 70 Suction-Side 21.57491 −0.8585560 71 Suction-Side 21.76433 −1.08979 60 72 Suction-Side 21.95375−1.32054 60 73 Suction-Side 22.14268 −1.55228 60 74 Suction-Side22.33161 −1.78352 60 75 Suction-Side 22.52005 −2.01525 60 76Suction-Side 22.70849 −2.24699 60 77 Suction-Side 22.89692 −2.47872 6078 Suction-Side 23.08487 −2.71095 60 79 Suction-Side 23.27282 −2.9431760 80 Suction-Side 23.46076 −3.17540 60 81 Suction-Side 23.64871−3.40763 60 82 Suction-Side 23.83616 −3.64034 60 83 Suction-Side24.02362 −3.87257 60 84 Suction-Side 24.21107 −4.10529 60 85Suction-Side 24.39852 −4.33801 60 86 Suction-Side 24.58549 −4.57122 6087 Suction-Side 24.77245 −4.80394 60 88 Suction-Side 24.95941 −5.0371560 89 Suction-Side 25.14637 −5.27036 60 90 Suction-Side 25.33284−5.50357 60 91 Suction-Side 25.51980 −5.73678 60 92 Suction-Side25.70627 −5.96999 60 93 Suction-Side 25.89225 −6.20369 60 94Suction-Side 26.07872 −6.43739 60 95 Suction-Side 26.26470 −6.67109 6096 Suction-Side 26.45068 −6.90480 60 97 Suction-Side 26.63665 −7.1385060 98 Suction-Side 26.82214 −7.37269 60 99 Suction-Side 27.00763−7.60689 60 100 Suction-Side 27.16556 −7.85584 60 101 Pressure-Side27.06175 −8.11956 60 102 Pressure-Side 26.79852 −8.15252 60 103Pressure-Side 26.59533 −7.96900 60 104 Pressure-Side 26.41033 −7.7628560 105 Pressure-Side 26.22681 −7.55572 60 106 Pressure-Side 26.04379−7.34809 60 107 Pressure-Side 25.86175 −7.13948 60 108 Pressure-Side25.68020 −6.93038 60 109 Pressure-Side 25.49914 −6.72079 60 110Pressure-Side 25.31857 −6.51070 60 111 Pressure-Side 25.13850 −6.3006260 112 Pressure-Side 24.95892 −6.09004 60 113 Pressure-Side 24.77884−5.87946 60 114 Pressure-Side 24.59926 −5.66888 60 115 Pressure-Side24.41919 −5.45830 60 116 Pressure-Side 24.23961 −5.24772 60 117Pressure-Side 24.05953 −5.03764 60 118 Pressure-Side 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Pressure-Side 5.39434 3.76728 60 199Pressure-Side 5.12472 3.82780 60 200 Pressure-Side 4.88512 3.96408 60 1Suction-Side 5.68167 4.95547 70 2 Suction-Side 5.76285 5.21279 70 3Suction-Side 5.94391 5.42189 70 4 Suction-Side 6.14859 5.60787 70 5Suction-Side 6.36408 5.78155 70 6 Suction-Side 6.58844 5.94342 70 7Suction-Side 6.81919 6.09643 70 8 Suction-Side 7.05584 6.24059 70 9Suction-Side 7.29742 6.37540 70 10 Suction-Side 7.54440 6.50086 70 11Suction-Side 7.79582 6.61599 70 12 Suction-Side 8.05166 6.72128 70 13Suction-Side 8.31193 6.81574 70 14 Suction-Side 8.57614 6.89889 70 15Suction-Side 8.84330 6.97122 70 16 Suction-Side 9.11341 7.03124 70 17Suction-Side 9.38598 7.07946 70 18 Suction-Side 9.66052 7.11538 70 19Suction-Side 9.93653 7.13899 70 20 Suction-Side 10.21304 7.14982 70 21Suction-Side 10.48954 7.14834 70 22 Suction-Side 10.76605 7.13456 70 23Suction-Side 11.04157 7.10800 70 24 Suction-Side 11.31562 7.06913 70 25Suction-Side 11.58770 7.01747 70 26 Suction-Side 11.85683 6.95351 70 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Suction-Side7.00271 8.13284 90 7 Suction-Side 7.23690 8.23518 90 8 Suction-Side7.47749 8.32177 90 9 Suction-Side 7.72300 8.39360 90 10 Suction-Side7.97245 8.44920 90 11 Suction-Side 8.22485 8.48905 90 12 Suction-Side8.47970 8.51267 90 13 Suction-Side 8.73506 8.51857 90 14 Suction-Side8.99090 8.50775 90 15 Suction-Side 9.24477 8.48020 90 16 Suction-Side9.49668 8.43542 90 17 Suction-Side 9.74514 8.37491 90 18 Suction-Side9.98918 8.29914 90 19 Suction-Side 10.22878 8.20910 90 20 Suction-Side10.46248 8.10578 90 21 Suction-Side 10.69028 7.99016 90 22 Suction-Side10.91218 7.86322 90 23 Suction-Side 11.12817 7.72546 90 24 Suction-Side11.33727 7.57934 90 25 Suction-Side 11.54096 7.42435 90 26 Suction-Side11.73875 7.26199 90 27 Suction-Side 11.93063 7.09323 90 28 Suction-Side12.11710 6.91808 90 29 Suction-Side 12.29865 6.73801 90 30 Suction-Side12.47528 6.55301 90 31 Suction-Side 12.64797 6.36458 90 32 Suction-Side12.81673 6.17269 90 33 Suction-Side 12.98204 5.97737 90 34 Suction-Side13.14440 5.77958 90 35 Suction-Side 13.30381 5.57983 90 36 Suction-Side13.46076 5.37811 90 37 Suction-Side 13.61574 5.17442 90 38 Suction-Side13.76925 4.96974 90 39 Suction-Side 13.92079 4.76408 90 40 Suction-Side14.07183 4.55744 90 41 Suction-Side 14.22189 4.35031 90 42 Suction-Side14.37146 4.14317 90 43 Suction-Side 14.52054 3.93506 90 44 Suction-Side14.66913 3.72743 90 45 Suction-Side 14.81820 3.51931 90 46 Suction-Side14.96630 3.31119 90 47 Suction-Side 15.11488 3.10258 90 48 Suction-Side15.26298 2.89446 90 49 Suction-Side 15.41107 2.68585 90 50 Suction-Side15.55916 2.47774 90 51 Suction-Side 15.70775 2.26913 90 52 Suction-Side15.85584 2.06052 90 53 Suction-Side 16.00394 1.85240 90 54 Suction-Side16.15203 1.64379 90 55 Suction-Side 16.30012 1.43567 90 56 Suction-Side16.44871 1.22706 90 57 Suction-Side 16.59680 1.01894 90 58 Suction-Side16.74490 0.81033 90 59 Suction-Side 16.89348 0.60221 90 60 Suction-Side17.04157 0.39360 90 61 Suction-Side 17.19016 0.18549 90 62 Suction-Side17.33825 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Suction-Side 21.49766 −5.85092 90 91Suction-Side 21.64625 −6.05904 90 92 Suction-Side 21.79533 −6.26716 9093 Suction-Side 21.94391 −6.47528 90 94 Suction-Side 22.09250 −6.6833990 95 Suction-Side 22.24157 −6.89102 90 96 Suction-Side 22.39016−7.09914 90 97 Suction-Side 22.53875 −7.30726 90 98 Suction-Side22.68782 −7.51538 90 99 Suction-Side 22.83739 −7.72251 90 100Suction-Side 22.94071 −7.94982 90 101 Pressure-Side 22.82706 −8.16876 90102 Pressure-Side 22.59533 −8.20123 90 103 Pressure-Side 22.41378−8.04723 90 104 Pressure-Side 22.26224 −7.85781 90 105 Pressure-Side22.11218 −7.66691 90 106 Pressure-Side 21.96310 −7.47503 90 107Pressure-Side 21.81550 −7.28266 90 108 Pressure-Side 21.66888 −7.0893090 109 Pressure-Side 21.52276 −6.89496 90 110 Pressure-Side 21.37761−6.70062 90 111 Pressure-Side 21.23346 −6.50529 90 112 Pressure-Side21.08930 −6.30996 90 113 Pressure-Side 20.94613 −6.11415 90 114Pressure-Side 20.80295 −5.91784 90 115 Pressure-Side 20.66027 −5.7215390 116 Pressure-Side 20.51710 −5.52522 90 117 Pressure-Side 20.37442−5.32891 90 118 Pressure-Side 20.23223 −5.13210 90 119 Pressure-Side20.09004 −4.93530 90 120 Pressure-Side 19.94785 −4.73850 90 121Pressure-Side 19.80615 −4.54170 90 122 Pressure-Side 19.66445 −4.3444090 123 Pressure-Side 19.52276 −4.14711 90 124 Pressure-Side 19.38155−3.94982 90 125 Pressure-Side 19.24034 −3.75252 90 126 Pressure-Side19.09914 −3.55523 90 127 Pressure-Side 18.95793 −3.35744 90 128Pressure-Side 18.81722 −3.15966 90 129 Pressure-Side 18.67601 −2.9623690 130 Pressure-Side 18.53530 −2.76458 90 131 Pressure-Side 18.39459−2.56679 90 132 Pressure-Side 18.25387 −2.36851 90 133 Pressure-Side18.11365 −2.17073 90 134 Pressure-Side 17.97294 −1.97294 90 135Pressure-Side 17.83272 −1.77466 90 136 Pressure-Side 17.69200 −1.5768890 137 Pressure-Side 17.55178 −1.37860 90 138 Pressure-Side 17.41156−1.18032 90 139 Pressure-Side 17.27134 −0.98253 90 140 Pressure-Side17.13063 −0.78426 90 141 Pressure-Side 16.99041 −0.58647 90 142Pressure-Side 16.85018 −0.38819 90 143 Pressure-Side 16.70947 −0.1904190 144 Pressure-Side 16.56925 0.00787 90 145 Pressure-Side 16.428540.20566 90 146 Pressure-Side 16.28782 0.40344 90 147 Pressure-Side16.14711 0.60123 90 148 Pressure-Side 16.00590 0.79902 90 149Pressure-Side 15.86470 0.99631 90 150 Pressure-Side 15.72349 1.19360 90151 Pressure-Side 15.58180 1.39090 90 152 Pressure-Side 15.44010 1.5881990 153 Pressure-Side 15.29840 1.78499 90 154 Pressure-Side 15.156211.98180 90 155 Pressure-Side 15.01353 2.17811 90 156 Pressure-Side14.87085 2.37442 90 157 Pressure-Side 14.72718 2.57023 90 158Pressure-Side 14.58352 2.76605 90 159 Pressure-Side 14.43887 2.96089 90160 Pressure-Side 14.29373 3.15523 90 161 Pressure-Side 14.14711 3.3490890 162 Pressure-Side 13.99951 3.54194 90 163 Pressure-Side 13.850923.73383 90 164 Pressure-Side 13.70086 3.92472 90 165 Pressure-Side13.54932 4.11415 90 166 Pressure-Side 13.39631 4.30258 90 167Pressure-Side 13.24182 4.49004 90 168 Pressure-Side 13.08487 4.67503 90169 Pressure-Side 12.92595 4.85855 90 170 Pressure-Side 12.76458 5.0401090 171 Pressure-Side 12.60025 5.21870 90 172 Pressure-Side 12.432965.39483 90 173 Pressure-Side 12.26224 5.56753 90 174 Pressure-Side12.08807 5.73629 90 175 Pressure-Side 11.90996 5.90160 90 176Pressure-Side 11.72792 6.06150 90 177 Pressure-Side 11.54096 6.21648 90178 Pressure-Side 11.34957 6.36556 90 179 Pressure-Side 11.15277 6.5082490 180 Pressure-Side 10.95105 6.64305 90 181 Pressure-Side 10.743916.76950 90 182 Pressure-Side 10.53137 6.88708 90 183 Pressure-Side10.31390 6.99483 90 184 Pressure-Side 10.09102 7.09127 90 185Pressure-Side 9.86371 7.17638 90 186 Pressure-Side 9.63247 7.24969 90187 Pressure-Side 9.39729 7.31021 90 188 Pressure-Side 9.15916 7.3574490 189 Pressure-Side 8.91907 7.39188 90 190 Pressure-Side 8.677497.41304 90 191 Pressure-Side 8.43444 7.42140 90 192 Pressure-Side8.19188 7.41747 90 193 Pressure-Side 7.94982 7.40221 90 194Pressure-Side 7.70824 7.37614 90 195 Pressure-Side 7.46814 7.34219 90196 Pressure-Side 7.22854 7.30135 90 197 Pressure-Side 6.99041 7.2560990 198 Pressure-Side 6.75178 7.21132 90 199 Pressure-Side 6.511697.17343 90 200 Pressure-Side 6.27011 7.16261 90 1 Suction-Side 6.208618.51611 100 2 Suction-Side 6.26125 8.75277 100 3 Suction-Side 6.445268.92054 100 4 Suction-Side 6.66617 9.03715 100 5 Suction-Side 6.901359.12276 100 6 Suction-Side 7.14391 9.18426 100 7 Suction-Side 7.391399.22460 100 8 Suction-Side 7.64084 9.24526 100 9 Suction-Side 7.890779.24576 100 10 Suction-Side 8.14071 9.22755 100 11 Suction-Side 8.388199.19114 100 12 Suction-Side 8.63272 9.13702 100 13 Suction-Side 8.872829.06617 100 14 Suction-Side 9.10800 8.98007 100 15 Suction-Side 9.337278.87970 100 16 Suction-Side 9.56064 8.76654 100 17 Suction-Side 9.777618.64207 100 18 Suction-Side 9.98819 8.50677 100 19 Suction-Side 10.192878.36212 100 20 Suction-Side 10.39114 8.20959 100 21 Suction-Side10.58401 8.04969 100 22 Suction-Side 10.77097 7.88339 100 23Suction-Side 10.95301 7.71169 100 24 Suction-Side 11.13063 7.53456 10025 Suction-Side 11.30381 7.35351 100 26 Suction-Side 11.47257 7.16900100 27 Suction-Side 11.63838 6.98106 100 28 Suction-Side 11.800746.79065 100 29 Suction-Side 11.96015 6.59779 100 30 Suction-Side12.11759 6.40295 100 31 Suction-Side 12.27355 6.20713 100 32Suction-Side 12.42755 6.00984 100 33 Suction-Side 12.58057 5.81156 10034 Suction-Side 12.73210 5.61230 100 35 Suction-Side 12.88266 5.41205100 36 Suction-Side 13.03223 5.21132 100 37 Suction-Side 13.180815.00959 100 38 Suction-Side 13.32841 4.80787 100 39 Suction-Side13.47601 4.60517 100 40 Suction-Side 13.62263 4.40246 100 41Suction-Side 13.76925 4.19926 100 42 Suction-Side 13.91538 3.99606 10043 Suction-Side 14.06150 3.79237 100 44 Suction-Side 14.20713 3.58918100 45 Suction-Side 14.35277 3.38549 100 46 Suction-Side 14.498403.18130 100 47 Suction-Side 14.64354 2.97761 100 48 Suction-Side14.78868 2.77343 100 49 Suction-Side 14.93333 2.56925 100 50Suction-Side 15.07847 2.36507 100 51 Suction-Side 15.22312 2.16089 10052 Suction-Side 15.36777 1.95621 100 53 Suction-Side 15.51242 1.75203100 54 Suction-Side 15.65707 1.54736 100 55 Suction-Side 15.801721.34317 100 56 Suction-Side 15.94637 1.13899 100 57 Suction-Side16.09102 0.93432 100 58 Suction-Side 16.23567 0.73014 100 59Suction-Side 16.38032 0.52546 100 60 Suction-Side 16.52497 0.32128 10061 Suction-Side 16.66962 0.11710 100 62 Suction-Side 16.81427 −0.08758100 63 Suction-Side 16.95892 −0.29176 100 64 Suction-Side 17.10357−0.49594 100 65 Suction-Side 17.24822 −0.70062 100 66 Suction-Side17.39287 −0.90480 100 67 Suction-Side 17.53752 −1.10898 100 68Suction-Side 17.68216 −1.31365 100 69 Suction-Side 17.82731 −1.51784 10070 Suction-Side 17.97196 −1.72202 100 71 Suction-Side 18.11661 −1.92620100 72 Suction-Side 18.26175 −2.13038 100 73 Suction-Side 18.40640−2.33456 100 74 Suction-Side 18.55154 −2.53875 100 75 Suction-Side18.69619 −2.74293 100 76 Suction-Side 18.84133 −2.94711 100 77Suction-Side 18.98598 −3.15129 100 78 Suction-Side 19.13112 −3.35547 10079 Suction-Side 19.27626 −3.55966 100 80 Suction-Side 19.42140 −3.76384100 81 Suction-Side 19.56654 −3.96802 100 82 Suction-Side 19.71169−4.17171 100 83 Suction-Side 19.85683 −4.37589 100 84 Suction-Side20.00197 −4.58007 100 85 Suction-Side 20.14711 −4.78376 100 86Suction-Side 20.29225 −4.98795 100 87 Suction-Side 20.43739 −5.19164 10088 Suction-Side 20.58253 −5.39582 100 89 Suction-Side 20.72817 −5.59951100 90 Suction-Side 20.87331 −5.80369 100 91 Suction-Side 21.01845−6.00738 100 92 Suction-Side 21.16408 −6.21156 100 93 Suction-Side21.30923 −6.41525 100 94 Suction-Side 21.45437 −6.61894 100 95Suction-Side 21.60000 −6.82312 100 96 Suction-Side 21.74563 −7.02681 10097 Suction-Side 21.89077 −7.23050 100 98 Suction-Side 22.03641 −7.43469100 99 Suction-Side 22.18303 −7.63739 100 100 Suction-Side 22.26224−7.86863 100 101 Pressure-Side 22.13776 −8.07577 100 102 Pressure-Side21.90849 −8.10480 100 103 Pressure-Side 21.72841 −7.95523 100 104Pressure-Side 21.58032 −7.76777 100 105 Pressure-Side 21.43370 −7.57884100 106 Pressure-Side 21.28905 −7.38893 100 107 Pressure-Side 21.14539−7.19803 100 108 Pressure-Side 21.00271 −7.00664 100 109 Pressure-Side20.86101 −6.81427 100 110 Pressure-Side 20.72030 −6.62140 100 111Pressure-Side 20.58007 −6.42804 100 112 Pressure-Side 20.43985 −6.23469100 113 Pressure-Side 20.30012 −6.04084 100 114 Pressure-Side 20.16089−5.84699 100 115 Pressure-Side 20.02165 −5.65264 100 116 Pressure-Side19.88192 −5.45879 100 117 Pressure-Side 19.74268 −5.26494 100 118Pressure-Side 19.60344 −5.07060 100 119 Pressure-Side 19.46470 −4.87675100 120 Pressure-Side 19.32546 −4.68241 100 121 Pressure-Side 19.18622−4.48807 100 122 Pressure-Side 19.04748 −4.29373 100 123 Pressure-Side18.90873 −4.09938 100 124 Pressure-Side 18.76999 −3.90504 100 125Pressure-Side 18.63124 −3.71070 100 126 Pressure-Side 18.49250 −3.51636100 127 Pressure-Side 18.35424 −3.32153 100 128 Pressure-Side 18.21550−3.12718 100 129 Pressure-Side 18.07724 −2.93235 100 130 Pressure-Side17.93850 −2.73752 100 131 Pressure-Side 17.80025 −2.54317 100 132Pressure-Side 17.66199 −2.34834 100 133 Pressure-Side 17.52374 −2.15351100 134 Pressure-Side 17.38598 −1.95867 100 135 Pressure-Side 17.24772−1.76335 100 136 Pressure-Side 17.10996 −1.56851 100 137 Pressure-Side16.97220 −1.37319 100 138 Pressure-Side 16.83444 −1.17786 100 139Pressure-Side 16.69717 −0.98303 100 140 Pressure-Side 16.55990 −0.78721100 141 Pressure-Side 16.42214 −0.59188 100 142 Pressure-Side 16.28536−0.39656 100 143 Pressure-Side 16.14809 −0.20074 100 144 Pressure-Side16.01132 −0.00492 100 145 Pressure-Side 15.87454 0.19090 100 146Pressure-Side 15.73776 0.38672 100 147 Pressure-Side 15.60098 0.58253100 148 Pressure-Side 15.46421 0.77835 100 149 Pressure-Side 15.327920.97417 100 150 Pressure-Side 15.19114 1.16999 100 151 Pressure-Side15.05437 1.36581 100 152 Pressure-Side 14.91759 1.56162 100 153Pressure-Side 14.78081 1.75744 100 154 Pressure-Side 14.64354 1.95326100 155 Pressure-Side 14.50677 2.14859 100 156 Pressure-Side 14.369502.34440 100 157 Pressure-Side 14.23173 2.53973 100 158 Pressure-Side14.09397 2.73456 100 159 Pressure-Side 13.95572 2.92940 100 160Pressure-Side 13.81697 3.12374 100 161 Pressure-Side 13.67774 3.31759100 162 Pressure-Side 13.53752 3.51144 100 163 Pressure-Side 13.396803.70431 100 164 Pressure-Side 13.25510 3.89668 100 165 Pressure-Side13.11242 4.08807 100 166 Pressure-Side 12.96876 4.27897 100 167Pressure-Side 12.82411 4.46888 100 168 Pressure-Side 12.67798 4.65830100 169 Pressure-Side 12.53087 4.84625 100 170 Pressure-Side 12.382295.03321 100 171 Pressure-Side 12.23173 5.21870 100 172 Pressure-Side12.07921 5.40221 100 173 Pressure-Side 11.92472 5.58426 100 174Pressure-Side 11.76777 5.76433 100 175 Pressure-Side 11.60836 5.94244100 176 Pressure-Side 11.44600 6.11759 100 177 Pressure-Side 11.280206.28979 100 178 Pressure-Side 11.11144 6.45855 100 179 Pressure-Side10.93924 6.62386 100 180 Pressure-Side 10.76310 6.78524 100 181Pressure-Side 10.58253 6.94170 100 182 Pressure-Side 10.39754 7.09274100 183 Pressure-Side 10.20763 7.23788 100 184 Pressure-Side 10.013287.37614 100 185 Pressure-Side 9.81304 7.50701 100 186 Pressure-Side9.60787 7.62903 100 187 Pressure-Side 9.39729 7.74121 100 188Pressure-Side 9.18130 7.84354 100 189 Pressure-Side 8.96039 7.93456 100190 Pressure-Side 8.73506 8.01427 100 191 Pressure-Side 8.50627 8.08167100 192 Pressure-Side 8.27405 8.13727 100 193 Pressure-Side 8.039368.18204 100 194 Pressure-Side 7.80271 8.21550 100 195 Pressure-Side7.56556 8.24059 100 196 Pressure-Side 7.32694 8.25830 100 197Pressure-Side 7.08881 8.27208 100 198 Pressure-Side 6.85018 8.28635 100199 Pressure-Side 6.61255 8.31046 100 200 Pressure-Side 6.38032 8.36359100

It will also be appreciated that the airfoil disclosed in the aboveTable 1 may be scaled up or down geometrically for use in other similarturbine designs. Consequently, the coordinate values set forth in Table1 may be scaled upwardly or downwardly such that the airfoil profileshape remains unchanged. A scaled version of the coordinates in Table 1would be represented by X, Y and Z coordinate values of Table 1, withthe X, Y and Z non-dimensional coordinate values converted to inches,multiplied or divided by a constant number.

An important term in this disclosure is profile. The profile is therange of the variation between measured points on an airfoil surface andthe ideal position listed in Table 1. The actual profile on amanufactured blade will be different than those in Table 1 and thedesign is robust to this variation meaning that mechanical andaerodynamic function are not impaired. As noted above, a + or −5%profile tolerance is used herein. The X, Y and Z values are allnon-dimensionalized relative to the airfoil height.

The disclosed airfoil shape optimizes and is specific to the machineconditions and specifications. It provides a unique profile toachieve 1) interaction between other stages in the high pressureturbine; 2) aerodynamic efficiency; and 3) normalized aerodynamic andmechanical blade loadings. The disclosed loci of points allow the gasturbine or any other suitable turbine to run in an efficient, safe andsmooth manner. As also noted, any scale of the disclosed airfoil may beadopted as long as 1) interaction between other stages in the highpressure turbine; 2) aerodynamic efficiency; and 3) normalizedaerodynamic and mechanical blade loadings are maintained in the scaledturbine.

This written description uses examples to disclose the invention,including the best mode, and also to enable any person skilled in theart to practice the invention, including making and using any devices orsystems and performing any incorporated methods. The patentable scope ofthe invention is defined by the claims, and may include other examplesthat occur to those skilled in the art. Such other examples are intendedto be within the scope of the claims if they have structural elementsthat do not differ from the literal language of the claims, or if theyinclude equivalent structural elements with insubstantial differencesfrom the literal languages of the claims.

1. A turbine bucket including a bucket airfoil having an airfoil shape,the bucket airfoil having a nominal profile substantially in accordancewith Cartesian coordinate values of X, Y and Z set forth in Table 1wherein the Cartesian coordinate values of X, Y and Z arenon-dimensional values from 0% to 100% convertible to dimensionaldistances in inches by multiplying the Cartesian coordinate values of X,Y and Z by a height of the airfoil in inches, and wherein X and Y aredistances in inches which, when connected by smooth continuing arcs,define airfoil profile sections at each distance Z, the airfoil profilesections at Z distances being joined smoothly with one another to form acomplete airfoil shape.
 2. The turbine bucket according to claim 1,forming part of a stage of a turbine.
 3. The turbine bucket according toclaim 1, wherein the airfoil shape lies in an envelope within +/−5% in adirection normal to any airfoil surface location.
 4. The turbine bucketaccording to claim 1, wherein a height of the turbine bucket is about 10inches to about 40 inches.
 5. A turbine bucket including a bucketairfoil having a suction-side uncoated nominal airfoil profilesubstantially in accordance with suction-side Cartesian coordinatevalues of X, Y and Z set forth in Table 1 wherein the Cartesiancoordinate values of X, Y and Z are non-dimensional values from 0% to100% convertible to dimensional distances in inches by multiplying theCartesian coordinate values of X, Y and Z by a height of the airfoil ininches, and wherein X and Y are distances in inches which, whenconnected by smooth continuing arcs, define airfoil profile sections ateach Z distance, the airfoil profile sections at the Z distances beingjoined smoothly with one another to form a complete suction-side airfoilshape, the X, Y and Z distances being scalable as a function of the sameconstant or number to provide a scaled-up or scaled-down airfoil.
 6. Theturbine bucket according to claim 5, forming part of a stage of aturbine.
 7. The turbine bucket according to claim 5, wherein thesuction-side airfoil shape lies in an envelope within +/−5% in adirection normal to any suction-side airfoil surface location.
 8. Theturbine bucket according to claim 5, wherein a height of the turbinebucket is about 10 inches to about 40 inches.
 9. A turbine comprising aturbine wheel having a plurality of buckets, each of the bucketsincluding an airfoil having a suction-side airfoil shape, the airfoilhaving a nominal profile substantially in accordance with suction-sideCartesian coordinate values of X, Y and Z set forth in Table 1 whereinthe Cartesian coordinate values of X, Y and Z are non-dimensional valuesfrom 0% to 100% convertible to dimensional distances by multiplying theCartesian coordinate values of X, Y and Z by a height of the airfoil,and wherein X and Y are distances which, when connected by smoothcontinuing arcs, define airfoil profile sections at each Z distance, theairfoil profile sections at the Z distances being joined smoothly withone another to form a complete suction-side airfoil shape.
 10. Theturbine according to claim 9, wherein the turbine wheel comprises astage of the turbine.
 11. The turbine according to claim 9, wherein Xrepresents a distance parallel to the turbine axis of rotation.
 12. Theturbine according to claim 9, wherein the suction-side airfoil shapelies in an envelope within +/−5% in a direction normal to anysuction-side airfoil surface location.
 13. The turbine according toclaim 9, wherein a height of the turbine bucket is about 10 inches toabout 40 inches.
 14. The turbine according to claim 9, wherein each ofthe buckets includes an airfoil having a pressure-side airfoil shape,the airfoil having a nominal profile substantially in accordance withpressure-side Cartesian coordinate values of X, Y and Z set forth inTable 1 wherein the pressure-side Cartesian coordinate values of X, Yand Z are non-dimensional values from 0% to 100% convertible todimensional distances by multiplying the pressure-side Cartesiancoordinate values of X, Y and Z by a height of the airfoil, and whereinX and Y are distances which, when connected by smooth continuing arcs,define airfoil profile sections at each Z distance, the airfoil profilesections at Z distances being joined smoothly with one another to form acomplete airfoil shape.
 15. The turbine according to claim 14, whereinthe turbine wheel comprises a stage of the turbine.
 16. The turbineaccording to claim 14, wherein X represents a distance parallel to theturbine axis of rotation.
 17. The turbine according to claim 14, whereinthe airfoil shape lies in an envelope within +/−5% in a direction normalto any airfoil surface location.
 18. A turbine according to claim 14,wherein a height of the turbine bucket is about 10 inches to about 40inches.